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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 851 · 40 questions
TalentJR

The method (Alligation cross): Alligation: cheaper : dearer = (dearer price − mix price) : (mix price − cheaper price). Mix price = total cost ÷ total quantity. Adding water: the milk stays the same — use it to find the new water. Percent in a mix = amount of that thing ÷ total × 100.

NameDateTime takenScore ___ / 40
  1. 1.Rice at ₹57 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  2. 2.A grocer mixes 6 kg of tea at ₹47 per kg with 6 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 48-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  4. 4.Rice at ₹74 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  5. 5.A grocer mixes 10 kg of tea at ₹112 per kg with 6 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 10 kg of tea at ₹120 per kg with 2 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 12 kg of tea at ₹23 per kg with 4 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 14-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  9. 9.A grocer mixes 10 kg of tea at ₹87 per kg with 7 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 10 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.Rice at ₹69 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  12. 12.Rice at ₹33 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  13. 13.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.A grocer mixes 4 kg of tea at ₹83 per kg with 7 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹30 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  16. 16.Rice at ₹73 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  17. 17.A grocer mixes 2 kg of tea at ₹25 per kg with 3 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 5 kg of tea at ₹40 per kg with 10 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 8 kg of tea at ₹106 per kg with 5 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 10 kg of tea at ₹35 per kg with 2 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹38 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  22. 22.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.A grocer mixes 6 kg of tea at ₹27 per kg with 4 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 6 kg of tea at ₹114 per kg with 12 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.A grocer mixes 6 kg of tea at ₹55 per kg with 3 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 64-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  29. 29.A grocer mixes 10 kg of tea at ₹103 per kg with 10 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 10 kg of tea at ₹116 per kg with 10 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹27 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  32. 32.Rice at ₹65 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  33. 33.A 49-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  34. 34.A grocer mixes 8 kg of tea at ₹108 per kg with 8 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A jug has 10 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A grocer mixes 8 kg of tea at ₹70 per kg with 2 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 6 kg of tea at ₹62 per kg with 10 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 3 kg of tea at ₹103 per kg with 3 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  40. 40.A 40-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?

Answer key

  1. 8
  2. 37
  3. 12
  4. 16
  5. 97
  6. 109
  7. 28
  8. 8
  9. 80
  10. 70
  11. 36
  12. 10
  13. 50
  14. 90
  15. 2
  16. 24
  17. 79
  18. 38
  19. 76
  20. 42
  21. 48
  22. 50
  23. 60
  24. 25
  25. 98
  26. 75
  27. 54
  28. 8
  29. 104
  30. 113
  31. 4
  32. 25
  33. 21
  34. 88
  35. 60
  36. 65
  37. 87
  38. 65
  39. 4
  40. 15

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